Integrating Φ₃ (excess³) into RECD Dynamics: From Parallel Metric to Structural Clock Contribution

Bilingual academic preprint (English + Spanish) on coupling Level-3 ordinal synergy (Φ₃ / excess³) into the Discrete Extramental Clock (RECD).

Proposal 1 (operational default) multiplies the legacy RECD increment by a surplus-gated gain Γ₃ with hardened activation gate A₃ (ablation via β=0). Proposal 2 is experimental: dual-channel advance with optional Feigenbaum deepening.

Contents of this deposit:

• English PDF + Spanish PDF (preprint draft v0.5)
• Markdown sources (manuscript.md, manuscript_es.md)
• Python package phi3-recd 0.5.0 (hardened A₃, P1, P2 maps)
• Synthetic S0–S2 validation and dual-domain smoke scripts (Holter SDDB/NSRDB; DengAI San Juan/Iquitos)
• Figures, bibliography, and dual-language PDF build pipeline

GitHub: https://github.com/johelpadilla/phi3-recd

PyPI: phi3-recd

Empirics and scientific claims are frozen at draft v0.5. excess³ weights remain pre-specified (0.6 Syn + 0.4 Surp). Causal claims are restricted to dynamical influence on the discrete clock index.